820393112 has 64 divisors (see below), whose sum is σ = 1950393600. Its totient is φ = 314202240.

The previous prime is 820393111. The next prime is 820393121. The reversal of 820393112 is 211393028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820393111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25058 + ... + 47630.

It is an arithmetic number, because the mean of its divisors is an integer number (30474900).

Almost surely, 2^820393112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820393112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975196800).

820393112 is an abundant number, since it is smaller than the sum of its proper divisors (1130000488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820393112 is a wasteful number, since it uses less digits than its factorization.

820393112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22656 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 820393112 is about 28642.5053373478. The cubic root of 820393112 is about 936.1397111684.

The spelling of 820393112 in words is "eight hundred twenty million, three hundred ninety-three thousand, one hundred twelve".